3 citations · 3 across the 4 of their papers we have counts for
4 papers · 1 filter
Quantitative homogenization of forced geometric motions through random fields of obstacles
Julian Fischer, Jonas Ingmanns
We establish a quantitative homogenization result for an interface moving through a field of sufficiently sparse but possibly impenetrable random obstacles. From a physical viewpoi…
Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions
Elisa Davoli, Lorenza D'Elia, Jonas Ingmanns
We perform a stochastic-homogenization analysis for composite materials exhibiting a random microstructure. Under the assumptions of stationarity and ergodicity, we characterize th…
Density fluctuations in weakly interacting particle systems via the Dean-Kawasaki equation
Federico Cornalba, Julian Fischer, Jonas Ingmanns +1
The Dean-Kawasaki equation - one of the most fundamental SPDEs of fluctuating hydrodynamics - has been proposed as a model for density fluctuations in weakly interacting particle s…
Estimates for commutators of fractional differential operators via harmonic extension
Jonas Ingmanns
This master thesis is based on the paper "Sharp commutator estimates via harmonic extensions" by Lenzmann and Schikorra, in which they proposed a method to prove estimates for comm…